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Finding the Fourth Proportional to 29,769.63, 41,082.63 and 16,342.14

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Solution

The fourth proportional to 29,769.63, 41,082.63 and 16,342.14 is: 22,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.63 : 41,082.63 = 16,342.14 : x
  2. Step 2: Convert to fraction form
    29,769.63/41,082.63 = 16,342.14/x
  3. Step 3: Cross multiply
    29,769.63x = 41,082.63 × 16,342.14
  4. Step 4: Simplify right side
    29,769.63x = 671,378,091.03
  5. Step 5: Solve for x
    x = 671,378,091.03/29,769.63
  6. Step 6: Final answer
    x = 22,552.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.